Extending the applicability of Newton’s method using Wang’s– Smale’s α–theory
Keyword(s):
We improve semilocal convergence results for Newton’s method by defining a more precise domain where the Newton iterate lies than in earlier studies using the Smale’s α– theory. These improvements are obtained under the same computational cost. Numerical examples are also presented in this study to show that the earlier results cannot apply but the new results can apply to solve equations.
2012 ◽
Vol 220-223
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pp. 2658-2661
Keyword(s):
2014 ◽
Vol 07
(01)
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pp. 1450007
2015 ◽
Vol 34
(2)
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pp. 197-211
1997 ◽
Vol 79
(1)
◽
pp. 131-145
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2019 ◽
Vol 354
◽
pp. 198-212
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